Answer :
You do approximately 185 Joules of work on the bag of groceries during the process. When carrying the bag of groceries at a constant speed, the work done is equal to the force applied multiplied by the distance moved in the direction of the force.
The force applied is the weight of the bag, which is equal to its mass (7.0 kg) multiplied by the acceleration due to gravity (approximately 9.8 m/s²). So, the force applied is 7.0 kg * 9.8 m/s² ≈ 68.6 N.
The distance moved in the direction of the force is the horizontal distance across the room, which is 2.7 m.
The work done is then W = force * distance = 68.6 N * 2.7 m ≈ 185.22 Joules.
Therefore, you do approximately 185 Joules of work on the bag of groceries during the process.
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